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nlexa [21]
3 years ago
9

35° (14x + 5)° solution​

Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

Answer:

490 + 175

Step-by-step explanation:

35(14+5)

35x14x=490x

35x5=175

490 + 175 = 665x

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A normal distribution has a mean of 80.6 and a standard deviation of 13.9. Find the value where the lowest 5% of data ends.
Akimi4 [234]

Answer:

The lowest 5% of data ends at 57.73.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.

The lowest 5% of the distribution can be expressed in terms of probability as follows:

P(X

Compute the value of <em>x</em> as follows:

P(\frac{X-\mu}{\sigma}

The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.

**Use the <em>z-</em>table for the for the <em>z</em>-score.

The value of <em>x</em> is:

z=\frac{x-\mu}{\sigma} \\-1.645=\frac{x-80.6}{13.9} \\x=80.6-(1.645\times13.9)\\=57.7345\\\approx57.73

Thus, the lowest 5% of data ends at 57.73.

7 0
3 years ago
An organization founded by businesses in a specific industry for the purpose of collaboration between companies is called a(n):
Katena32 [7]
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Zack puts a mug of water into his microwave oven. He knows that the final temperature of the water will be a function of the num
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Find the distance between the points E and G.<br><br> A) 0 <br> B) 2 <br> C) 3 <br> D) 6
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Step-by-step explanation:

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3 0
3 years ago
Find the 50th term of the sequence 5, -2, -9, -16, ...
Elodia [21]

Answer:

-338

Step-by-step explanation:

So we have the sequence:

5, -2, -9, -16...

First, note that this is an arithmetic sequence.

This is because each individual term is the previous term <em>added</em> by a common difference.

We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.

So, to find the 50th term, we can write an explicit formula for our sequence.

The standard form for the explicit formula for an arithmetic sequence is:

x_n=a+d(n-1)

Where a is the initial term, d is the common difference, and n is the nth term.

We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:

x_n=5-7(n-1)

Now, to find the 50th term, all we have to do is to substitute 50 for n. So:

x_{50}=5-7(50-1)

Subtract within the parentheses:

x_{50}=5-7(49)

Multiply:

x_{50}=5-343

Subtract:

x_{50}=-338

So, the 50th term is -338.

And we're done!

8 0
3 years ago
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